# Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics

Source: [Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics](<https://www.sota2.com/research/paper/68fa50a41e209131ce96d5cc>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:54:51.561Z

Authors: Martin Herberg, Martin Meyries, Jan Pr\\"uss, Mathias Wilke

Published: 2013-10-17T14:41:09.000Z

## Abstract

The mass-based Maxwell-Stefan approach to one-phase multicomponent reactive mixtures is mathematically analyzed. It is shown that the resulting quasilinear, strongly coupled reaction-diffusion system is locally well-posed in an $L\_p$-setting and generates a local semiflow on its natural state space. Solutions regularize instantly and become strictly positive if their initial components are all nonnegative and nontrivial. For a class of reversible mass-action kinetics, the positive equilibria are identified: these are precisely the constant chemical equilibria of the system, which may form a manifold. Here the total free energy of the system is employed which serves as a Lyapunov function for the system. By the generalized principle of linearized stability, positive equilibria are proved to be normally stable.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1310.4723>)

[PDF](<https://arxiv.org/pdf/1310.4723.pdf>)